Drazin inverse conditions for stability of positive singular systems

Abstract In this paper, positive singular systems in both continuous and discrete cases are addressed, and a complete characterization for stability is provided. First, it is shown that positive singular systems can be stable for a non-negative initial condition. The presented stability criteria are necessary and sufficient, and can be checked by means of linear matrix inequality (LMI) or linear programming (LP). Further, we generalize the Lyapunov stability theory for positive singular systems.

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